2 papers
math.GT2024
Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms
Amina Abdurrahman, Anshul Adve, Vikram Giri +2
We study two quantifications of being a homology sphere for hyperbolic 3-manifolds, one geometric and one topological: the spectral gap for the Laplacian on coclosed 1-forms and th…
math.DG2023
Rigidity of Totally Geodesic Hypersurfaces in Negative Curvature
Ben Lowe
Let be a closed hyperbolic manifold containing a totally geodesic hypersurface , and let be a closed Riemannian manifold homotopy equivalent to with sectional curvat…